High School

In △JKL, what is the length of segment KL?

Right triangle JKL with JK measuring 33, angle J measuring 60 degrees, and angle L measuring 30 degrees.

A. \(33\sqrt{3}\)
B. 66
C. \(33\sqrt{2}\)
D. 16.5

Answer :

Answer:

[tex][/tex] In a 30-60-90 triangle, which has angles measuring 30, 60, and 90 degrees, the sides are in the ratio 1: \sqrt{3} :2.

Given that angle J measures 60 degrees and JK equals 33 units, we can use the ratio to find the length of KL, which is opposite the 30-degree angle.

Using the ratio, the length of KL = \frac{JK}{2} = \frac{33}{2} = 16.5.

Therefore, the length of segment KL is 16.5.

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